Nasheehath, here is what Babychakra's expert Dr Riddhi Chandarana has to say to your question. She has also give u a quick tip :) This happens only on Babychakra!
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Hello . Sucking fingers is a tendency most babies have . It's not always a sign of hunger . Now that babies grow , babies have the tendency to explore their world , including their own body . Sucking on fingers is just one of their ways to explore their own body . You will eventually also see sucking on toe . And this is normal & natural .
Please do not try to restrict this or apply anything or make them wear mittens so that they do not do this .
Also this is not the sign of insufficient breast milk .

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